Question

4-13 writing exponential equations

Answer 1

`y=2((1)/(3))^x`

Explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b =
`(1)/(3)`

Therefore, equation of the exponential function will be,

`y=2((1)/(3))^x`